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Simplifying 3x + -4(1 + -3x) = 2x + -1(x + 1) 3x + (1 * -4 + -3x * -4) = 2x + -1(x + 1) 3x + (-4 + 12x) = 2x + -1(x + 1) Reorder the terms: -4 + 3x + 12x = 2x + -1(x + 1) Combine like terms: 3x + 12x = 15x -4 + 15x = 2x + -1(x + 1) Reorder the terms: -4 + 15x = 2x + -1(1 + x) -4 + 15x = 2x + (1 * -1 + x * -1) -4 + 15x = 2x + (-1 + -1x) Reorder the terms: -4 + 15x = -1 + 2x + -1x Combine like terms: 2x + -1x = 1x -4 + 15x = -1 + 1x Solving -4 + 15x = -1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 15x + -1x = -1 + 1x + -1x Combine like terms: 15x + -1x = 14x -4 + 14x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 14x = -1 + 0 -4 + 14x = -1 Add '4' to each side of the equation. -4 + 4 + 14x = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = -1 + 4 14x = -1 + 4 Combine like terms: -1 + 4 = 3 14x = 3 Divide each side by '14'. x = 0.2142857143 Simplifying x = 0.2142857143
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